Vanessa, Jen, David and Xylia shared some marbles. Vanessa and Jen took
14 of the total number of marbles while David and Xylia took the rest. Jen had thrice as many marbles as Vanessa and Xylia had 99 marbles. Given that Xylia had thrice as many marbles as Jen, how many marbles were there altogether?
Vanessa |
Jen |
David |
Xylia |
Total |
1x4 |
3x4 |
4x4 |
1 |
3 |
|
|
|
|
1x3 |
|
3x3 |
|
1 u |
3 u |
3 u |
9 u |
16 u |
Number of marbles that Jen had is repeated. Make the number of marbles that Jen had the same. LCM of 3 and 1 is 3.
Number of marbles that Xylia had = 9 u
9 u = 99
1 u = 99 ÷ 9 = 11
Total number of marbles
= 16 u
= 16 x 11
= 176
Answer(s): 176